Understanding the Physics
* Gravity: The primary force acting on the stone is gravity, which causes it to slow down as it goes up and speed up as it comes down. The acceleration due to gravity is approximately 9.8 m/s².
* Vertical Velocity: The stone's upward velocity decreases until it momentarily reaches zero at its highest point.
Formula
We can use the following kinematic equation to find the maximum height (h):
* v² = u² + 2as
where:
* v = final velocity (0 m/s at the highest point)
* u = initial velocity (6 m/s)
* a = acceleration due to gravity (-9.8 m/s², negative because it's acting downwards)
* s = displacement (the maximum height, h)
Calculations
1. Plug in the values:
0² = 6² + 2(-9.8)h
2. Solve for h:
0 = 36 - 19.6h
19.6h = 36
h = 36 / 19.6
h ≈ 1.84 m
Answer: The stone will reach a maximum height of approximately 1.84 meters.
